Calculating Net Force on a Point Charge in a 2D Coulomb's Law System

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SUMMARY

The discussion centers on calculating the net force on point charge 1 in a 2D Coulomb's Law system involving point charges 1, 2, 3, and 4. The relevant equation used is Fnet = Kq1q2/r², where K is Coulomb's constant (9 x 10^9 N m²/C²) and r is the separation distance (0.0004 m). Participants emphasize the importance of treating force as a vector and suggest calculating the forces exerted by each charge on charge 1 before summing them vectorially. Trigonometric ratios are recommended for determining the components of the forces in two dimensions.

PREREQUISITES
  • Understanding of Coulomb's Law and its mathematical formulation
  • Familiarity with vector addition and trigonometric functions
  • Knowledge of point charge interactions in electrostatics
  • Basic skills in physics problem-solving techniques
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  • Study vector addition in two dimensions, focusing on component calculations
  • Review Coulomb's Law applications in electrostatics
  • Learn how to calculate distances between point charges in a coordinate system
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Students of physics, particularly those studying electrostatics, as well as educators seeking to clarify concepts related to force calculations in multi-charge systems.

cobhc27
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Homework Statement



Consider the arrangement of point charges shown below. Calculate the net force on point charge 1 given the arrangement of the point charges and the separation of the charges.

1=2=3=e-
2=e+
r=0.4cm
=0.0004m
K=9x10^9
Fnet=?

Please use this link for an image of the "point charges shown below"
http://i277.photobucket.com/albums/kk71/cobhc_27/physics101.jpg

Homework Equations



Fnet=
Kq1q2
r^2


The Attempt at a Solution



Fnet=
Kq1q2
------
r^2

=
kq^2
-----
r^2

I assume you have to solve for 1 2 3 and 4 in this case, but I don't have a great idea on how to. From there, perhaps you add up each net force (but I don't know how to incorporate the 2d part). Any help given is greatly appreciated.
 
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cobhc27 said:
From there, perhaps you add up each net force (but I don't know how to incorporate the 2d part

Remember that force is a vector. To add vectors (in two-dimensions or in n-dimensions), add the components of the vector. The components can easily be calculated using trigonometric ratios, especially since you know the angle.

cobhc27 said:
1=2=3=e-
2=e+

Could you clear this up a bit? You have 2 twice.
 
It's pretty easy:

1. Calculate the force on 1 caused by 2.
2. Calculate the force on 1 caused by 3.
3. Calculate the force on 1 caused by 4.
4. Add the forces together.

Do you know how to calculate the distance between 4 and 1? Do you know how to add vectors?
 

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